Monotonicity preservation on triangles

It is well known that Bernstein polynomials on triangles preserve monotonicity. In this paper we define and study three kinds of monotonicity preservation of systems of bivariate functions on a triangle. We characterize and compare several of these systems and derive some geometric applications.

• Type: Journal
• Year: 2000
• Where: MOC
• Authors: Michael S. Floater, Juan Manuel Peña
• Keywords: Bernstein Polynomials, MOC 2000, Monotonicity, Triangle